10164508160 has 160 divisors (see below), whose sum is σ = 25304666112. Its totient is φ = 3911639040.

The previous prime is 10164508139. The next prime is 10164508213. The reversal of 10164508160 is 6180546101.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×10164508160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20871437 + ... + 20871923.

Almost surely, 2^10164508160 is an apocalyptic number.

10164508160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10164508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12652333056).

10164508160 is an abundant number, since it is smaller than the sum of its proper divisors (15140157952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10164508160 is an equidigital number, since it uses as much as digits as its factorization.

10164508160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The spelling of 10164508160 in words is "ten billion, one hundred sixty-four million, five hundred eight thousand, one hundred sixty".